²-well-posedness of 3d div-curl boundary value problems
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[1] R. Temam,et al. Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation , 1978 .
[2] C. DeWitt-Morette,et al. Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .
[3] R. Abraham,et al. Manifolds, tensor analysis, and applications: 2nd edition , 1988 .
[4] C. Amick. Some Remarks on Rellich's Theorem and the Poincaré Inequality , 1978 .
[5] R. Abraham,et al. Manifolds, Tensor Analysis, and Applications , 1983 .
[6] Jukka Saranen,et al. On electric and magnetic problems for vector fields in anisotropic nonhomogeneous media , 1983 .
[7] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[8] L. Evans. Measure theory and fine properties of functions , 1992 .
[9] W. Wahl,et al. Estimating ∇u in terms of divu, curlu, either (ν,u) or ν×u and the topology , 1997 .
[10] P. R. Kotiuga,et al. Vector potential formulation for three‐dimensional magnetostatics , 1982 .
[11] Rainer Picard,et al. On the boundary value problems of electro- and magnetostatics , 1982, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[12] Philippe Blanchard,et al. Variational Methods in Mathematical Physics , 1992 .
[13] Giles Auchmuty. THE MAIN INEQUALITY OF 3D VECTOR ANALYSIS , 2004 .
[14] Vivette Girault,et al. An analysis of a mixed finite element method for the Navier-Stokes equations , 1979 .
[15] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[16] Hermann Weyl,et al. The method of orthogonal projection in potential theory , 1940 .
[17] J. Craggs. Applied Mathematical Sciences , 1973 .
[18] Giles Auchmuty,et al. L2 Well-Posedness of Planar Div-Curl Systems , 2001 .
[19] E. Zeidler. Nonlinear Functional Analysis and its Applications: III: Variational Methods and Optimization , 1984 .
[20] Giles Auchmuty. Orthogonal decompositions and bases for three-dimensional vector fields , 1994 .
[21] Jukka Saranen,et al. On generalized harmonic fields in domains with anisotropic nonhomogeneous media , 1982 .
[22] Giles Auchmuty. Reconstruction of the velocity from the vorticity in three-dimensional fluid flows , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[23] K. O. Friedrichs,et al. Differential forms on riemannian manifolds , 1955 .